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Finding the Fourth Proportional to 7,701.72, 11,538.44 and 6,871.56

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Solution

The fourth proportional to 7,701.72, 11,538.44 and 6,871.56 is: 10,294.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,701.72 : 11,538.44 = 6,871.56 : x
  2. Step 2: Convert to fraction form
    7,701.72/11,538.44 = 6,871.56/x
  3. Step 3: Cross multiply
    7,701.72x = 11,538.44 × 6,871.56
  4. Step 4: Simplify right side
    7,701.72x = 79,287,082.77
  5. Step 5: Solve for x
    x = 79,287,082.77/7,701.72
  6. Step 6: Final answer
    x = 10,294.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.